A meshless method for the investigation of electromagnetic scattering from arbitrary shaped anisotropic cylindrical objects

Abstract

In the current work, an advanced computational technique is formulated and performed to investigate the wave scattering problem from an infinitely transversally large anisotropic cylinder with arbitrary cross section. A meshless local Petrov–Galerkin method is used to discretize the anisotropic interior (inside the scatterer) and isotropic exterior (outside the scatterer) problems. The total electric fields inside and outside the scatterer are approximated by linear combinations of the generalized multiquadric radial basis functions. The local Heavisde step function is employed as the test function in weak formulation. Moreover, a simple collocation scheme is used to impose the interface and radiation boundary conditions directly. The proposed numerical technique is an efficient instrument to deal with practical complex scatterers and also has a good advantage in treating the material discontinuity at the interface between two different media. The performance and efficiency of the method are demonstrated through some test problems.

Keywords:

• Electromagnetic scattering
• anisotropic material
• meshless local Petrov–Galerkin method
• weak formulation.

Acknowledgements

The authors are grateful to the anonymous reviewers for their valuable comments and suggestions which helped to improve this paper.

Notes

No potential conflict of interest was reported by the authors.